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Finding the Fourth Proportional to 20,051.94, 27,670.78 and 11,098.81

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Solution

The fourth proportional to 20,051.94, 27,670.78 and 11,098.81 is: 15,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.94 : 27,670.78 = 11,098.81 : x
  2. Step 2: Convert to fraction form
    20,051.94/27,670.78 = 11,098.81/x
  3. Step 3: Cross multiply
    20,051.94x = 27,670.78 × 11,098.81
  4. Step 4: Simplify right side
    20,051.94x = 307,112,729.77
  5. Step 5: Solve for x
    x = 307,112,729.77/20,051.94
  6. Step 6: Final answer
    x = 15,315.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.